Answer:
Age of Raju = 12
Age of Ravi = 16
Step-by-step explanation:
Let the Ages of Raju and Ravi be 3x and 4x years
According to question, [tex]\frac{3x+4}{4x+4}[/tex] = [tex]\frac{4}{5}[/tex]
⇒ 5(3x+4)=4(4x+4)
⇒ 15x+20 = 16x+16
⇒ 15x−16x=16 - 20
⇒ −x = −4
⇒ x = 4
Age of Raju = 3 × 4 = 12
Age of Ravi = 4 × 4 = 16
HOPE IT HELPS!!
Answer:
raju=16 years
Ravi=20 years
Step-by-step explanation:
raju =4×4=16
Ravi=5×4=20
Find the value of f(3) given f(x) = − 5x + 2
Answer:
- 13
Step-by-step explanation:
Plug 3 in for x:
-5(3)+2
Simplify :
-15+2
=-13
Answer:
-13
Step-by-step explanation:
f(x) = -5x + 2
f(3) = -5(3) + 2
f(3) = -15 + 2
f(3) = -13
Which is the area between the x-axis and y=x from x=1 to x=5
Answer:
[tex]\displaystyle A = 12[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
FunctionsFunction NotationGraphingCalculus
Integrals
Definite IntegralsArea under the curveIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
y = x
Interval: x = 1 to x = 5
Step 2: Sort
Graph the function. See Attachment.
Bounds of Integration: [1, 5]
Step 3: Find Area
Substitute in variables [Area of a Region Formula]: [tex]\displaystyle A = \int\limits^5_1 {x} \, dx[/tex][Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = \frac{x^2}{2} \bigg| \limits^5_1[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: [tex]\displaystyle A = 12[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
solve |x + 5| = -7 ....
Answer:
2,-12
Step-by-step explanation:
The given equation is ,
[tex]\implies |x + 5 | = -7 [/tex]
We know that modulus only gives positive value , Therefore on squaring both sides we have ,
[tex]\implies (x + 5 )^2=( -7)^2 \\\\\implies (x+5)^2=7^2\\\\\implies x + 5 =\pm 7 \\\\\implies x = 7-5,-7-5 \\\\\implies \boxed{ x = 2, -12} [/tex]
plz do this i will mark you
Photo isn't clear.
And which number
Dose 4(x+1)= 3x+4 have a solution
Answer:
x = 0
Step-by-step explanation:
First, multiply 4 by x+1
4x + 4 = 3x + 4
Subtract 3x on both sides
x + 4 = 4
Subtract 4 from both sides
x =
this is x = 0, since x = nothing.
Answer:
x=0
Step-by-step explanation:
4(x+1)= 3x+4
Distribute
4x+4 = 3x+4
Subtract 3x from each side
4x-3x+4 =3x-3x+4
x+4 = 4
Subtract 4 from each side
x+4-4 = 4-4
x=0
What is the inverse of the function f(x)
-x + 2?
q
O h(x) = 18x - 2
h(x) = 9x - 18
O h(x) = 9x + 18
® h(x) - 18x + 2
Answer:
[tex]h(x)= 9x - 18[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{9}x + 2[/tex]
Required
The inverse
[tex]f(x) = \frac{1}{9}x + 2[/tex]
Replace f(x) with y
[tex]y = \frac{1}{9}x + 2[/tex]
Swap x and y
[tex]x = \frac{1}{9}y + 2[/tex]
Subtract 2
[tex]x - 2= \frac{1}{9}y[/tex]
Multiply 9
[tex]9x - 18 = y[/tex]
Rewrite as:
[tex]y = 9x - 18[/tex]
So:
[tex]h(x)= 9x - 18[/tex]
if you want to make some money and do my acellus academy math and science subject in 1 day ill pay $25 dollars
Answer:
no tHank you hope someone can help
Step-by-step explanation:
I need some help with this one. Please give it a go! Thank you for your time.
Answer:
Step-by-step explanation:
Hello there
I'm also a student so I'm not 100% sure on this one, but I think I know.
Usually when you have functions you just replace the letters for their value:
f = 11x
g = x² - 6x + 3
h = -x + 4
Th exercise is asking for (g * h) (x)
Since there are parenthesis, here's what we have:
[(x² - 6x + 3)(-x + 4)](x)
Use the left side of the equation:
[(x² - 6x + 3)(-x + 4)](x)
And solve it:
-x³ + 6x² -3x + 4x² - 24x + 12
That's equal to
-x³ + 10x² -27x + 12
Multiply all that by that x on the left:
-x^4 + 10x³ -27x² + 12x
No idea if that's right so please tell me
I need help with my math!!!!!!!
Answer:
2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Area of a square = [tex]s^{2}[/tex] (s is a side length)
24 = [tex]s^{2}[/tex]
[tex]\sqrt{24}[/tex] = [tex]\sqrt{s^{2} }[/tex]
[tex]\sqrt{24}[/tex] = s
[tex]\sqrt{(4)(6) }[/tex] = s
2[tex]\sqrt{6}[/tex] = s
question in picture, math.
Answer:
beginning of march 4.1
beginning of jun 6.4
Step-by-step explanation:
Which of the following recursive formulas represents the same arithmetic sequence as the explicit formula an = 5+ (n-1)2?
Answer:
[tex]a_1 = 5[/tex]
[tex]a_n = a_{n-1} + 2[/tex]
Step-by-step explanation:
Given
[tex]a_n = 5 + (n - 1)2[/tex]
Required
The equivalent recursive function
The general explicit function is:
[tex]a_n = a_1+ (n - 1)d[/tex]
So, by comparison
[tex]a_1 = 5[/tex]
[tex]d = 2[/tex]
The recursion of an arithmetic sequence is:
[tex]a_n = a_{n-1} + d[/tex]
Substitute 2 for d
[tex]a_n = a_{n-1} + 2[/tex]
Hence: (a) is correct
Taking a discount of 50% off followed by a discount of 50% off results in a total discount of_______. A. 25% B. 50% C. 75% D. 100%
Answer:
A. 25%
Step-by-step explanation:
50% = 1/2
1/2 of 1/2 = 1/2 * 1/2=
1/4 = 25%
Answer:
100%-50%=50% so the answer is B
People pack seeds into foils and store them in a seed vault. Each foil contains 500 seeds. If the vault has 145,000 seeds altogether, how many foils are in the vault?
Step-by-step explanation:
dbdhdhbdbshsjakkakkajnwbsbdbdbdbbdbdbdvdvdvvvddvvdvd
Answer:
290 foils
Step-by-step explanation:
145,000÷500=290
Find the area of the parallelogram
Which equation represents a line that passes through (2,-) and has a slope of 3?
Oy-2 = 3(x + 2)
Oy - 3 = 2(x+)
Oy+ 1 = 3(x - 2)
Oy+ < = 2(x-3)
Help?
The equation of the line is y + 1 = 3(x - 2).
The correct option is (3).
What is an equation?Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.
As per the given data:
The line passes through the point (2, -1)
slope of the given line is 3
By using the slope intercept form of line:
y = mx + c
where m is the slope
c is the y intercept
The line passes through the point (2, -1) so substituting the point in the equation also m = 3
y = 3x + c
-1 = 3(2) + c
c = -7
The equation of the line now can be written as:
y = 3x - 7
y + 1 = 3x - 7 + 1
y + 1 = 3(x - 2)
Hence, the equation of the line is y + 1 = 3(x - 2).
To learn more about equation, click:
brainly.com/question/10413253
#SPJ5
Find the y-intercept of the line: 9x + 3y = -18
(0,-6)
(0,6)
(-2,0)
(3,9)
Answer:
(0,-6)
Step-by-step explanation:
9x + 3y = -18
Solve for y to get equation in slope intercept form
( y = mx + b )
9x + 3y = -18
Subtract 9x from both sides
9x - 9x + 3y = -18 - 9x
3y = -9x - 18
Divide both sides by 3
3y/3 = y
-9x - 18 / 3 = -3x - 6
We're left with y = -3x - 6
The equation is now in y intercept form
y = mx + b where b = y intercept
-6 takes the spot of b therefore the y intercept would be at (0,-6)
I need equation of the linear function represented by the table below in the slope intercept form
Answer:
y = 2x - 2
Step-by-step explanation:
Because the table.
Answer:
Step-by-step explanation:
y/2 = (x-1)/(2-1)
y/2 = x-1
y = 2x - 2
can someone give me the answer for this? __ (5 + 4) = 2 * 5 + 2 * 4
Answer:
The answer is 2_____________________________
2 x 5 = 10
2 x 4 = 8
10 + 8 = 18
______________________________
5 + 4 = 9
_______________________________
_ 9 = 18
18 : 9 = 2
stackrel(harr)(AB) is perpendicular to 'stackrel(harr)(CD)'. How many
90° angles are formed by the intersection?
Answer:
4.
Step-by-step explanation:
A line AB is perpendicular to the line CD.
As shown in the diagram, there are four angles which measures 90°.
The numerical coefficient of -2pqr
Answer: -2
Explanation: The coefficient is the number to the left of the variable.
Another example would be that 10xy has the coefficient 10.
Something like x^2 has coefficient 1 because x^2 = 1x^2.
the theater sells two types of tickets: adult tickets for $6 and child tickets for 5$. last night, the theatre sold a total of 375 tickets for a total of $2153. How many adult tickets did the theatre sell
Answer:
358
Step-by-step explanation:
Write an inequality representing the total cost of your purchase. a. Each pound of fruit costs $4. Write an expression that shows the total cost of the fruit. Use the variable you identified in question 1.
Answer:
$4n
Step-by-step explanation:
The variable identified in question 1 isn't given ;
If the cost per unit of fruit = $4
The total cost of fruit will be :
Cost per fruit * number of fruits
If the number of fruits is denoted by the variable, n
The the total cost of fruit will be :
Cost per fruit, $4 * number of fruits, n
Total cost = $4 * n = $4n
hi i need help with this
Evaluate 4(3-1)^2
Hey there!
4(3 - 1)^2
3 - 1 = 2
= 4(2^2)
2^2
= 2 * 2
= 4
4(4)
= 16
Answer: 16
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
4(3-1)^2= 16
Step-by-step explanation:
4(3-1)^2
=4×(2)^2
=4×4
=16 ........
HOPE THIS HELPS YOU....
WILL MARK BRAINLIEST
Create diagrams to represent the possible cases for common tangents between two circles. Please give justification for each diagram.
1. No common tangents
2. One common tangent
3. Two common tangents
4. Three common tangents
5. Four common tangents
Refer to the diagram below for examples of what I mean.
What is the solution
Answer:
x = -72
Step-by-step explanation:
-72 + 8 = -64
The third square root of -64 is -4
PLEASE HURRY
The origin is on the x-axis but not on the yaxis.
O A. True
O B. False
Answer:
The horizontal axis in the coordinate plane is called the x-axis. The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin. The origin is at 0 on the x-axis and 0 on the y-axis.
Can someone help me with this math homework please!
Step-by-step explanation:
The second equation
[tex]2.4x = 1.2x + 15[/tex]
is the answer for the 1st picture.
2nd, solve for x.
[tex]1.2x = 15[/tex]
[tex]x = 12.5[/tex]
You cant create half a page so let lower it down to 12.
12 is the answer for the second answer.
Through any two points there is exactly one _____
space.
plane.
line.
point.
Answer:
C. Line
Is the correct answer
Which inverse trig function could I use to solve this problem?
Answer:
Inverse sine
Step-by-step explanation:
Recall the three common trig ratios
Remember SohCahToa
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse (CAH)
Tangent = Opposite over Adjacent (TOA)
Now let's look back at the question
It asks us which inverse function would we use to solve for angle Z
Looking at angle Z, we are given it's opposite side length and the hypotenuse ( longest side ).
When dealing with the opposite side length and hypotenuse we use trig function sine.
When trying to find the angle we use inverse so we would use inverse sine to find the measure of angle A
solve the problems. write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it
Answer:
[tex]m \angle A = m \angle C[/tex] by reason [tex]\overline{AB} \cong \overline{BC}[/tex] and [tex]m \angle B = m \angle M = m \angle P[/tex].
[tex]\triangle AMO \cong \triangle CPO[/tex] SAS Theorem
Step-by-step explanation:
We proceed to demonstrate the statement by Geometric means:
1) [tex]\overline{AB} \cong \overline{BC}[/tex], [tex]\overline {AM} \cong \overline {PC}[/tex], [tex]m\angle AMO = m\angle CPO[/tex] Given.
2) [tex]\frac{AM}{AB} = \frac{PC}{BC}[/tex] Proportionality.
3) [tex]\frac{AM}{AM + MB} = \frac{PC}{BP + PC}[/tex] Definition of line segments.
4) [tex]\frac{1}{1+\frac{MB}{AM} } = \frac{1}{\frac{BP}{PC}+1}[/tex] Algebra.
5) [tex]\frac{BP}{PC} + 1 = 1 +\frac{MB}{AM}[/tex] Algebra.
6) [tex]\frac{BP}{PC} = \frac{MB}{AM}[/tex] Algebra.
7) [tex]BP = BM[/tex] By 1)
8) [tex]m \angle B = m \angle M = m \angle P[/tex] By 1), 7)
9) [tex]\triangle AMO \sim \triangle ABC[/tex], [tex]\triangle CPO \sim \triangle ABC[/tex] By 1), 7), 8). Defintion of simmilarity.
10) [tex]\frac{AM}{MO} = \frac{AB}{BC}[/tex], [tex]\frac{PO}{PC} = \frac{AB}{BC}[/tex] Definition of proportionality.
11) [tex]\frac{AM}{MO} = \frac{PO}{PC}[/tex] Algebra.
12) [tex]AM^{2} = PO\cdot MO[/tex] Algebra.
13) [tex]PO = MO[/tex] By 12) and Algebra.
14) [tex]\overline{PO} \cong \overline{MO}[/tex] By 13).
15) [tex]\triangle AMO \cong \triangle CPO[/tex] SAS Theorem/Result.
